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We propose an evolutionary model for weighted network with tunable clustering coefficient according to characteristics of real network. The model gives power-law distributions of degree, weight, and strength, as confirmed in many real network. In particular, the weighted model has a nonlinear correlation between average clustering coefficient and degree, which is in good agreement with flat head real weighted technological network. Moreove, the effect of the weighted network structure on traffic delivery is studied. The packet traffic flow on the weighted scale-free network is investigated based on the local routing strategy using node strength, and the delivering ability of node is controlled by node strength. The simulations show that the traffic dynamics depends strongly on the controlled parameter.
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Keywords:
- scale-free network /
- weighted network /
- clustering coefficient /
- congestion
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[3] Barabasi A L, Jeong H, Neda Z, Ravasz E, Schubert A, Vicsek T 2002 Physica A 311 590
[4] Jeong H, Mason S P, Barabasi A L, Oltvai Z N 2001 Nature 411 41
[5] Erdös P, Rényi A 1959 Publ. Math. 6 290
[6] Watts D J, Strogatz S H 1998 Nature 393 440
[7] Barabási A L, Albert R 1999 Science 286 509
[8] Li J, Wang B H, Jiang P Q, Zhou T, Wang W X 2006 Acta Phys. Sin. 55 4051 (in Chinese) [李季, 汪秉宏, 蒋品群, 周涛, 王文旭2006 55 4051]
[9] Yakubo K, KoroSak D 2011 Phys. Rev. E 83 066111
[10] Ferretti L, Cortelezzi M 2011 Phys. Rev. E 84 016103
[11] Gao J X, Chen Z, Cai Y Z, Xu X M 2010 Phys. Rev. E 81 041918
[12] Chakraborty A, Manna S S 2010 Phys. Rev. E 81 016111
[13] Baronchelli A, Castellano C, Pastor-Satorras R 2011 Phys. Rev. E 83 066117
[14] Geng X M, Wen G H 2007 Int. J. Mod. Phys. C 18 1435
[15] Wen G H, Duan Z S, Chen G R, Geng X M 2011 Physica A 390 4012
[16] Barrat A, Barthélemy M, Vespignani A 2004 Phys. Rev. Lett. 92 228701
[17] Xie Z, Li X, Wang X F 2008 Comm. Theor. Phys. 50 261
[18] Kagawa Y, Takamatsu A 2009Phys. Rev. E 79 046216
[19] Fagiolo G, Reyes J, Schiavo S 2009 Phys. Rev. E 79 036115
[20] Garlaschelli D, Loffredo M I 2009 Phys. Rev. Lett. 102 038701
[21] Furuya S, Yakubo K 2008 Phys. Rev. E 78 066104
[22] Holme P, Kim B J 2002 Phys. Rev. E 65 026107
[23] Krapivsky P L, Redner S, Leyvraz F 2000 Phys. Rev. Lett. 85 4629
[24] Albert R, Jeong H, Barabai A L 1999 Nature 401 130
[25] Ravasz E, Barabasi A L 2003 Phys. Rev. E 67 026112
[26] Wang W X, Wang B H, Hu B, Yan G, Ou Q 2005 Phys. Rev. Lett. 94 188702
[27] Wang D, Yu H, Jing Y W, Jing N, Zhang S Y 2009 Acta Phys. Sin. 58 6802 (in Chinese) [王丹, 于灏, 井元伟, 姜囡, 张嗣瀛 2009 58 6802]
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[1] Faloutsos M, Faloutsos P, Faloutsos C 1999 Comp. Comm. Rev. 29 251
[2] Redner S 1998 Eur. Phys. J. B 4 131
[3] Barabasi A L, Jeong H, Neda Z, Ravasz E, Schubert A, Vicsek T 2002 Physica A 311 590
[4] Jeong H, Mason S P, Barabasi A L, Oltvai Z N 2001 Nature 411 41
[5] Erdös P, Rényi A 1959 Publ. Math. 6 290
[6] Watts D J, Strogatz S H 1998 Nature 393 440
[7] Barabási A L, Albert R 1999 Science 286 509
[8] Li J, Wang B H, Jiang P Q, Zhou T, Wang W X 2006 Acta Phys. Sin. 55 4051 (in Chinese) [李季, 汪秉宏, 蒋品群, 周涛, 王文旭2006 55 4051]
[9] Yakubo K, KoroSak D 2011 Phys. Rev. E 83 066111
[10] Ferretti L, Cortelezzi M 2011 Phys. Rev. E 84 016103
[11] Gao J X, Chen Z, Cai Y Z, Xu X M 2010 Phys. Rev. E 81 041918
[12] Chakraborty A, Manna S S 2010 Phys. Rev. E 81 016111
[13] Baronchelli A, Castellano C, Pastor-Satorras R 2011 Phys. Rev. E 83 066117
[14] Geng X M, Wen G H 2007 Int. J. Mod. Phys. C 18 1435
[15] Wen G H, Duan Z S, Chen G R, Geng X M 2011 Physica A 390 4012
[16] Barrat A, Barthélemy M, Vespignani A 2004 Phys. Rev. Lett. 92 228701
[17] Xie Z, Li X, Wang X F 2008 Comm. Theor. Phys. 50 261
[18] Kagawa Y, Takamatsu A 2009Phys. Rev. E 79 046216
[19] Fagiolo G, Reyes J, Schiavo S 2009 Phys. Rev. E 79 036115
[20] Garlaschelli D, Loffredo M I 2009 Phys. Rev. Lett. 102 038701
[21] Furuya S, Yakubo K 2008 Phys. Rev. E 78 066104
[22] Holme P, Kim B J 2002 Phys. Rev. E 65 026107
[23] Krapivsky P L, Redner S, Leyvraz F 2000 Phys. Rev. Lett. 85 4629
[24] Albert R, Jeong H, Barabai A L 1999 Nature 401 130
[25] Ravasz E, Barabasi A L 2003 Phys. Rev. E 67 026112
[26] Wang W X, Wang B H, Hu B, Yan G, Ou Q 2005 Phys. Rev. Lett. 94 188702
[27] Wang D, Yu H, Jing Y W, Jing N, Zhang S Y 2009 Acta Phys. Sin. 58 6802 (in Chinese) [王丹, 于灏, 井元伟, 姜囡, 张嗣瀛 2009 58 6802]
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